Renovation, regeneration, and coupling in multiple server queues in continuous time

Soren Asmussen, Sergey Foss

Research output: Chapter in Book/Report/Conference proceedingChapter

Abstract

This paper demonstrates some different, though related, approaches for obtaining ergodicity results for queues on a GI/GI/p example, where the weak convergence of the workload- and queue length vectors in continuous time to their stationary distributions is derived under minimal assumptions. The spectrum of methods incorporate concepts like renovating events, regeneration (in a broad sense) and E-coupling.
Original languageEnglish
Title of host publicationFrontiers in Pure and Applied Probability
Publisherde Gruyter
Chapter1
Pages1-6
Number of pages6
Volume1
ISBN (Print)9067641561
DOIs
Publication statusPublished - 1993

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